Sets where Lip $f$ is infinite and lip $f$ is finite
27 Jul 2020
·
Hanson Bruce·
We characterize the subsets $E \subset \mathbb{R}$ for which there exists a
continuous real valued function $f: \mathbb{R}\to\mathbb{R}$ such that lip $f$
is finite everywhere and Lip $f$ is infinite exactly on $E$.